Can I have a look at your code?
For example, in this simplest example, nothing is wrapped:
public class TableTest {
    public static void main(String[] args) {
        JFrame frm = new JFrame();
        TableModel dataModel = new AbstractTableModel() {
            public int getColumnCount() {
                return 10;
            }
            public int getRowCount() {
                return 10;
            }
            public Object getValueAt(int row, int col) {
                return new String(
                    "<a href=\"127.0.0.1\">row*col*1000000000</a>");
            }
        };
        JTable table = new JTable(dataModel);
        table.getColumnModel().getColumn(2).setMaxWidth(120);
        table.getColumnModel().getColumn(2).setPreferredWidth(120);
        table.getColumnModel().getColumn(2).setMinWidth(120);
        frm.getContentPane().add(table);
        frm.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
        frm.setPreferredSize(new Dimension(300, 300));
        frm.pack();
        frm.setVisible(true);
    }
}
Edited by @latata strong> You can try to create your own CellRenderer and play with it by applying it to the desired column:
table.getColumnModel().getColumn(0).setCellRenderer(new NonWrappedCellRenderer());
Renderer might look like this:
class NonWrappedCellRenderer extends JTextArea implements TableCellRenderer {
    @Override
    public Component getTableCellRendererComponent(
                    JTable table,
                    Object value,
                    boolean isSelected,
                    boolean hasFocus,
                    int row,
                    int column) {
            this.setText((String)value);
            this.setLineWrap(false);                 
            return this;
    }
}
Here the line will not be wrapped since JTextArea uses by default
setLineWrap(false)
, JTextArea html, . - . JTextPane - , , wrapping.
, .